Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2934/999,5346/1291
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 2934,5346
Greatest Common Factor of Numerators i.e. GCF of 2934,5346 is 18 .
LCM of Denominators means LCM of 999,1291 as per the given fractions.
LCM of 999,1291 is 1289709 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2934,5346
2 | 2934, 5346 |
3 | 1467, 2673 |
3 | 489, 891 |
163, 297 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 2934
List of positive integer factors of 2934 that divides 2934 without a remainder.
1,2,3,6,9,18,163,326,489,978,1467,2934
Factors of 5346
List of positive integer factors of 5346 that divides 5346 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Greatest Common Factor
We found the factors 2934,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 2934,5346 is 18.
Lets's calculate LCM of 999,1291
Given numbers has no common factors except 1. So, there LCM is their product i.e 1289709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1289709
Therefore, the GCF of Fractions 2934/999,5346/1291 is 18/1289709
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 999,1291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,1291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,1291) x common factors =1 x 1 = 1
LCM(999,1291) = ( 999 × 1291 ) / 1
LCM(999,1291) = 1289709 / 1
LCM(999,1291) = 1289709
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 2934/999, 5346/1291?
Answer: GCF of Numerators as per given numbers 2934/999, 5346/1291 is
GCF of Numerators i.e. for 2934,5346 is 18
LCM of denominators i.e. for 999,1291 is 1289709.
Thus, GCF of Fractions is 18/1289709.Finally, GCF of Fractions for 2934/999, 5346/1291 is 18/1289709.